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Non-equilibrium fluctuations induced by the Soret effect in a ternary mixture

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Abstract

We present, based on fluctuating hydrodynamics, the theory of concentration fluctuations in a ternary mixture subjected to a stationary temperature gradient, so that composition gradients are present due to thermal diffusion (Soret effect). We neglect gravity and confinement (boundary conditions) but consider a completely generic diffusion matrix, including cross-diffusion effects. We find, as in the case of binary mixtures, an important non-equilibrium enhancement of the concentration fluctuations, which is proportional to the square of the gradient and inversely proportional to the fourth power of the fluctuations wave number, q−4. The results of this paper are expected to be asymptotically correct for fluctuations of large q, while for shorter q gravity and confinement effects need to be incorporated. Comparison with previous work in the topic is included.

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Authors and Affiliations

  1. Departamento de Física Aplicada I, Universidad Complutense, Plaza de las Ciencias, 1, 28040, Madrid, Spain

    José M. Ortiz de Zárate

  2. Laboratoire des Fluides Complexes et leurs Réservoirs - UMR5150, Université de Pau et des Pays de l’Adour, 64600, Anglet, France

    Cédric Giraudet, Henri Bataller & Fabrizio Croccolo

Authors
  1. José M. Ortiz de Zárate
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  2. Cédric Giraudet
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  3. Henri Bataller
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  4. Fabrizio Croccolo
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Correspondence to José M. Ortiz de Zárate.

Additional information

Contribution to the Topical Issue “Thermal nonequilibrium phenomena in multi-component fluids” edited by Fabrizio Croccolo and Henri Bataller.

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Ortiz de Zárate, J.M., Giraudet, C., Bataller, H. et al. Non-equilibrium fluctuations induced by the Soret effect in a ternary mixture. Eur. Phys. J. E 37, 77 (2014). https://doi.org/10.1140/epje/i2014-14077-2

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